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sisvu:academicYear 2007 (xsd:int)
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sisvu:courseInstanceOfCourseInstanceLecturer <http://kent.zpr.fer.hr:8080/educationalProgram/resource/courseInstanceLecturer/25393/2007/155219>
sisvu:description Realni brojevi. Kompleksni brojevi. Funkcije jedne realne varijable. Elementarne funkcije. Nizovi. Granična vrijednost niza. Granična vrijednost i neprekidnost funkcije. Derivacija funkcije. Primjene derivacije na probleme geometrije i fizike. Diferencijal funkcije. Derivacije i diferencijali višeg reda. Osnovni teoremi diferencijalnog računa. Neodređeni oblici. Ekstremi funkcije, konkavnost, konveksnost, infleksija. Asimptote. Crtanje grafa funkcije. Numerički redovi. Kriteriji konvergencije. Redovi potencija. Taylorov red. Matrice i determinante. Sustavi linearnih jednadžbi. Vektori. Analitička geometrija prostora. (hr)
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